Solved: 3336 TrueFalse Determine whether the statement is true orfalse. Explain your

Chapter 14, Problem 34

(choose chapter or problem)

If a region $R$ is bounded below by $y=g_{1}(x)$ and above by $y=g_{2}(x)$ for $a \leq x \leq b$, then

$\iint_{R} f(x, y)\ d A=\int_{a}^{b} \int_{g_{1}(x)}^{g_{2}(x)} f(x, y)\ d y\ d x$

Equation Transcription:

$y={g}_{1}(x)$

$y={g}_{2}(x)$

$a\leq{}x\leq{}b$

∫∫ ${\ }_{R}f(x,\ y)\ dA\ =\ \int\limits_{a}^{b}\int\limits_{{g}_{1}(x)}^{{g}_{2}(x)}f(x,\ y)\ dy\ dx$

Text Transcription:

y=g_1 (x)

y=g_2 (x)

a leq x leq b

integral integral _R f(x, y) dA = integral _a ^b integral _g_1 (x) ^g_2 (x) f(x, y) dy dx

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